TSTP Solution File: SYN182-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:25:47 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  33   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f909,plain,
    $false,
    inference(avatar_sat_refutation,[],[f598,f867,f907]) ).

fof(f907,plain,
    ~ spl0_43,
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f906,plain,
    ( $false
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f905,f710]) ).

fof(f710,plain,
    p2(c,c,c),
    inference(resolution,[],[f213,f524]) ).

fof(f524,plain,
    l1(c,c),
    inference(resolution,[],[f40,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f213,axiom,
    ! [X9,X4] :
      ( ~ l1(X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_175) ).

fof(f905,plain,
    ( ~ p2(c,c,c)
    | ~ spl0_43 ),
    inference(resolution,[],[f276,f868]) ).

fof(f868,plain,
    ( ! [X0] : ~ m3(c,X0,c)
    | ~ spl0_43 ),
    inference(resolution,[],[f597,f836]) ).

fof(f836,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f673]) ).

fof(f673,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f597,plain,
    ( ! [X2,X1] :
        ( ~ q2(X1,c,c)
        | ~ m3(X1,X2,X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f596,plain,
    ( spl0_43
  <=> ! [X2,X1] :
        ( ~ m3(X1,X2,X1)
        | ~ q2(X1,c,c) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_238) ).

fof(f867,plain,
    ~ spl0_42,
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f866,plain,
    ( $false
    | ~ spl0_42 ),
    inference(resolution,[],[f865,f710]) ).

fof(f865,plain,
    ( ! [X0] : ~ p2(X0,c,c)
    | ~ spl0_42 ),
    inference(resolution,[],[f243,f594]) ).

fof(f594,plain,
    ( ! [X0] : ~ k3(X0,X0,c)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl0_42
  <=> ! [X0] : ~ k3(X0,X0,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f243,axiom,
    ! [X8,X9] :
      ( k3(X8,X8,X8)
      | ~ p2(X9,X8,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_205) ).

fof(f598,plain,
    ( spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f577,f596,f593]) ).

fof(f577,plain,
    ! [X2,X0,X1] :
      ( ~ m3(X1,X2,X1)
      | ~ k3(X0,X0,c)
      | ~ q2(X1,c,c) ),
    inference(resolution,[],[f333,f383]) ).

fof(f383,plain,
    ~ q4(c,c),
    inference(resolution,[],[f363,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ q5(X0,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f363,axiom,
    ! [X5] :
      ( q5(X5,X5)
      | ~ q4(X5,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_325) ).

fof(f333,axiom,
    ! [X11,X8,X6,X9,X7] :
      ( q4(X11,X6)
      | ~ k3(X7,X7,X11)
      | ~ q2(X8,X6,X11)
      | ~ m3(X8,X9,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:33:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (11600)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.49  % (11617)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (11600)Instruction limit reached!
% 0.18/0.50  % (11600)------------------------------
% 0.18/0.50  % (11600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11600)Termination reason: Unknown
% 0.18/0.50  % (11600)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (11598)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (11600)Memory used [KB]: 1791
% 0.18/0.50  % (11600)Time elapsed: 0.004 s
% 0.18/0.50  % (11600)Instructions burned: 5 (million)
% 0.18/0.50  % (11600)------------------------------
% 0.18/0.50  % (11600)------------------------------
% 0.18/0.50  % (11606)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (11609)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.50  % (11606)Instruction limit reached!
% 0.18/0.50  % (11606)------------------------------
% 0.18/0.50  % (11606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11606)Termination reason: Unknown
% 0.18/0.50  % (11606)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11606)Memory used [KB]: 1791
% 0.18/0.50  % (11606)Time elapsed: 0.003 s
% 0.18/0.50  % (11606)Instructions burned: 3 (million)
% 0.18/0.50  % (11606)------------------------------
% 0.18/0.50  % (11606)------------------------------
% 0.18/0.50  % (11617)Instruction limit reached!
% 0.18/0.50  % (11617)------------------------------
% 0.18/0.50  % (11617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11620)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.51  % (11617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11617)Termination reason: Unknown
% 0.18/0.51  % (11617)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (11617)Memory used [KB]: 1791
% 0.18/0.51  % (11617)Time elapsed: 0.008 s
% 0.18/0.51  % (11617)Instructions burned: 7 (million)
% 0.18/0.51  % (11617)------------------------------
% 0.18/0.51  % (11617)------------------------------
% 0.18/0.51  % (11605)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (11605)Refutation not found, incomplete strategy% (11605)------------------------------
% 0.18/0.51  % (11605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (11605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11605)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (11605)Memory used [KB]: 6140
% 0.18/0.51  % (11605)Time elapsed: 0.003 s
% 0.18/0.51  % (11605)Instructions burned: 3 (million)
% 0.18/0.51  % (11605)------------------------------
% 0.18/0.51  % (11605)------------------------------
% 0.18/0.51  % (11621)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (11613)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.52  % (11612)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.52  % (11601)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.52  % (11609)First to succeed.
% 0.18/0.52  % (11601)Refutation not found, incomplete strategy% (11601)------------------------------
% 0.18/0.52  % (11601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (11601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (11601)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (11601)Memory used [KB]: 6140
% 0.18/0.52  % (11601)Time elapsed: 0.004 s
% 0.18/0.52  % (11601)Instructions burned: 2 (million)
% 0.18/0.52  % (11601)------------------------------
% 0.18/0.52  % (11601)------------------------------
% 0.18/0.52  % (11602)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.52  % (11609)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (11609)------------------------------
% 0.18/0.52  % (11609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (11609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (11609)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (11609)Memory used [KB]: 6524
% 0.18/0.52  % (11609)Time elapsed: 0.121 s
% 0.18/0.52  % (11609)Instructions burned: 15 (million)
% 0.18/0.52  % (11609)------------------------------
% 0.18/0.52  % (11609)------------------------------
% 0.18/0.52  % (11597)Success in time 0.18 s
%------------------------------------------------------------------------------